Regularization of geopotential determination from satellite data by variance components

By Karl-Rudolf Koch, Jürgen Kusche. 2002

364 citations recorded by the source corpus.

Subfields: Applied Mathematics, Environmental Engineering, Oceanography

View Paper: https://www.semanticscholar.org/paper/d2e8650725633967f4bab810c91fe19830d3964d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Alireza Amiri-Simkooei
2. Peiliang Xu
3. X. Fang
4. Yunzhong Shen
5. J. Brockmann
6. E. Höck
7. Torsten Mayer-Gürr
8. Peter Teunissen

In Environmental Engineering

1. Alireza Amiri-Simkooei
2. Yunzhong Shen
3. Peiliang Xu
4. J. Brockmann
5. E. Höck
6. Torsten Mayer-Gürr
7. Peter Teunissen
8. Yumei Liu

In Oceanography

1. Alireza Amiri-Simkooei
2. J. Brockmann
3. E. Höck
4. Torsten Mayer-Gürr
5. Peter Teunissen
6. Yumei Liu
7. Mirko Reguzzoni
8. Roland Pail

Citations in the corpus

• ITSG‐Grace2018: Overview and Evaluation of a New GRACE‐Only Gravity Field Time Series (2019, methodology): “To obtain minimum variance estimates of the gravity field parameters, an adequate stochastic model of the observations is required (Koch & Kusche, 2002).”
• First GOCE gravity field models derived by three different approaches (2011, methodology): “Finally, the combined solution was processed by addition of the SST and SGG normal equations, and applying regularization and optimum relative weighting based on variance component estimation (Koch and Kusche 2002).”
• Least-squares variance component estimation (2008, methodology): “Examples are Koch and Kusche (2002) and Kusche (2003), who studied the relative weighting of heterogeneous data for gravityfield modelling;Fotopoulos(2003,2005),whoconsideredthecombined adjustment of ellipsoidal, orthometric and geoid heights; Chen et al. (1990), who studied the combination of ele”
• Least-squares variance component estimation: theory and GPS applications (2007, methodology): “, 2004) • estimation of variance components for weighting data of different types in gravity field models (Koch and Kusche, 2002; Kusche, 2003b) • assessment of the stochastic model of CHAMP data using the energy balance in an iterative VCE method (Kusche and van Loon, 2005; van Loon and Kusche, 200”
• Variance Component Estimation in Linear Inverse Ill-posed Models (2006, methodology): “tor of 164 in the case of simulated GRACE data ( Koch and Kusche 2002 ).”
• Iterative generalized cross-validation for fusing heteroscedastic data of inverse ill-posed problems (2009, methodology): “Schwintzer (1990) and Koch & Kusche (2002) treated the regularization parameter κ as if it were the ratio of two variance components and used variance component estimation techniques to simultaneously estimate σ 2 i and κ .”
• EGM_TIM_RL05: An independent geoid with centimeter accuracy purely based on the GOCE mission (2014, methodology): “The individual weights wi = 1 𝜎2i were iteratively determined using variance component estimation (VCE) [Koch and Kusche, 2002].”